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Finding the Fourth Proportional to 178,118,999.87, 267,178,499.80 and 178,118,999.87

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Solution

The fourth proportional to 178,118,999.87, 267,178,499.80 and 178,118,999.87 is: 267,178,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,118,999.87 : 267,178,499.80 = 178,118,999.87 : x
  2. Step 2: Convert to fraction form
    178,118,999.87/267,178,499.80 = 178,118,999.87/x
  3. Step 3: Cross multiply
    178,118,999.87x = 267,178,499.80 × 178,118,999.87
  4. Step 4: Simplify right side
    178,118,999.87x = 47,589,567,171,364,752
  5. Step 5: Solve for x
    x = 47,589,567,171,364,752/178,118,999.87
  6. Step 6: Final answer
    x = 267,178,499.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.